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Finding the Fourth Proportional to 2,692.47, 4,031.82 and 1,597.62

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Solution

The fourth proportional to 2,692.47, 4,031.82 and 1,597.62 is: 2,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.47 : 4,031.82 = 1,597.62 : x
  2. Step 2: Convert to fraction form
    2,692.47/4,031.82 = 1,597.62/x
  3. Step 3: Cross multiply
    2,692.47x = 4,031.82 × 1,597.62
  4. Step 4: Simplify right side
    2,692.47x = 6,441,316.27
  5. Step 5: Solve for x
    x = 6,441,316.27/2,692.47
  6. Step 6: Final answer
    x = 2,392.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.